Advertisements
Advertisements
Question
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Advertisements
Solution
`12/(4sqrt3 - sqrt 2)`
`= 12/(4sqrt3 - sqrt 2) xx (4sqrt3 + sqrt 2)/(4sqrt3 + sqrt 2)`
`= (12 (4sqrt3 + sqrt 2))/((4sqrt3)^2 -(sqrt 2)^2) ...[(a+b)(a-b) = a^2 - b^2]`
`=(12 (4sqrt3 + sqrt 2))/(48 - 2)`
`= (12 (4sqrt3 + sqrt 2))/46`
`= (6 (4sqrt3 + sqrt 2))/23`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`1/(sqrt 3 - sqrt 2)`
Rationalise the denominators of : `3/sqrt5`
Rationalise the denominators of : `[ 2√5 + 3√2 ]/[ 2√5 - 3√2 ]`
If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`
Simplify by rationalising the denominator in the following.
`(3sqrt(2))/sqrt(5)`
Simplify by rationalising the denominator in the following.
`(1)/(5 + sqrt(2))`
Simplify by rationalising the denominator in the following.
`(2)/(3 + sqrt(7)`
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Simplify by rationalising the denominator in the following.
`(2sqrt(3) - sqrt(6))/(2sqrt(3) + sqrt(6)`
In the following, find the values of a and b:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = "a" + "b"sqrt(3)`
In the following, find the values of a and b:
`(1)/(sqrt(5) - sqrt(3)) = "a"sqrt(5) - "b"sqrt(3)`
In the following, find the values of a and b:
`(sqrt(11) - sqrt(7))/(sqrt(11) + sqrt(7)) = "a" - "b"sqrt(77)`
In the following, find the values of a and b:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = "a" - "b"sqrt(6)`
If x = `(7 + 4sqrt(3))`, find the value of `x^3 + (1)/x^3`.
If x = `(4 - sqrt(15))`, find the values of
`(1)/x`
If x = `(4 - sqrt(15))`, find the values of
`x^2 + (1)/x^2`
Evaluate, correct to one place of decimal, the expression `5/(sqrt20 - sqrt10)`, if `sqrt5` = 2.2 and `sqrt10` = 3.2.
Draw a line segment of length `sqrt8` cm.
